ATTENUATION OF SPURIOUS OSCILLATIONS IN THE NUMERICAL CAPTURE OF SHOCK WAVES

D. Portes, H. Rodrigues and S. B. Duarte ()
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D. Portes: Centro Federal de Educação Tecnológica do Rio de Janeiro, Departamento de Educação Superior/DEPES, Av. Maracanã 229, Maracanã, CEP 20271-110, Rio de Janeiro, Brazil
H. Rodrigues: Centro Federal de Educação Tecnológica do Rio de Janeiro, Departamento de Educação Superior/DEPES, Av. Maracanã 229, Maracanã, CEP 20271-110, Rio de Janeiro, Brazil
S. B. Duarte: Centro Brasileiro de Pesquisas Físicas, CBPF/MCT, Rua Dr. Xavier Sigaud, Urca, CEP 222080-190, Rio de Janeiro, Brazil

International Journal of Modern Physics C (IJMPC), 2006, vol. 17, issue 10, 1403-1413

Abstract: Artificial viscosity is often expressed as a superposition of linear and quadratic terms in the first derivative of the velocity field. In trying to find a continuous solution for the hydrodynamic equations, we propose an alternative one-term artificial viscosity which is a linear form of the derivative of the specific volume. It is shown that this artificial viscosity is able to capture the profile of the steady plane shock wave, largely removing the non-physical oscillations originated by the artificial viscosity of von Neumann and Richtmyer. Analytical and numerical calculations for one-dimensional shock using both artificial viscosities are compared.

Keywords: Artificial viscosity; shock wave (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S0129183106009941

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